Question

Which equation represents the line passing through the points (1, 1) and (−2, 13)?

4x − y = 5

x − 4y = 5

x + 4y = 5

4x + y = 5

Answer 1

@shkrina can you helpp?

Answer 2

I dont really understand this, so can you just tell me the answer please?

Answer 3

use the eq formula ...

Answer 4

y -y1 x-x1
-------- = ----------
y2-y1 x2-x1

where (x1,y1)=(1,1) (x2, y2)=(-2,13)

Answer 5

@christinechloe21

There are two option lines on which the point (1, 1) lies.

Look at the third option:

x + 4y = 5
Substitute 1 for x and 1 for y and see if what results is a true statement.

1 + 4*1 = 5
1 + 4 = 5
5=5

On the fourth option, do the same and you will get 5= 5.
------------

Now follow the same procedure for the point (-2,13)
and first the line with equation:

x + 4y = 5

--------------

If that works, that is, if -2 + 4*13 = 5, then x + 4y=5 is the answer.
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If not, the test the last option line 4x + y = 5 to determine if (-2, 13) makes that equation a true statement when you substitute -2 for x and 13 for y.

If the resulting statement is true, that is the answer to the question.